A capacitive voltage divider is used to measure the bus voltage $V_{\text{bus}}$ in a high-voltage $50$ Hz AC system as shown in the figure. The measurement capacitors $C_{1}$ and $C_{2}$ have tolerances of $\pm 10\%$ on their nominal capacitance values. If the bus voltage $V_{\text{bus}}$ is $100 \: kV$ rms, the maximum rms output voltage $V_{\text{out}}$ (in $kV$), considering the capacitor tolerances, is _______.
